President Reagan and Soviet leader Mikhail Gorbachev concluded the first U.S.-Soviet summit since 1979 with a joint appearance and statement on their discussions; each made individual remarks before a final private meeting. Reagan departed for Brussels to brief U.S. allies. Gorbachev held a press conference before flying to Prague to confer with the Warsaw Pact. Reagan addressed a joint session of Congress last night.

*SPECIFIC AGREEMENTS: Reagan and Gorbachev agreed to meet again, probably next year in Washington and in 1987 in the Soviet Union, and to accelerate arms control negotiations. In addition, they reached a two-pronged cultural accord and agreement on air safety in the North Pacific, consulates in Kiev and New York and resumption of talks on renewal of commercial air travel.

*GENERAL AGREEMENTS: The two leaders reaffirmed their commitment to nuclear nonproliferation, emphasized the importance of preventing war between the two superpowers and pledged not to seek military superiority. They also "reaffirmed that they are in favor" of a general ban on chemical weapons and destruction of current stockpiles. They noted the importance they attach to the talks on Mutual and Balanced Force Reductions in Europe and the Stockholm Conference on Disarmament in Europe. The two sides said they plan consultations on environmental protection and advocated international efforts toward utilizing controlled thermonuclear fusion for peaceful purposes.

A U.S. official said there were no secret accords.

*AREAS OF DISCORD: "Serious differences remain on a number of critical issues," the communique said. Clearly among them was nuclear arms. Gorbachev at his news conference singled out Reagan's failure to abandon U.S. plans for the space-based missile defense system popularly known as "Star Wars." He also said the U.S. side was "not yet ready to carry out any decisions" on disarmament, "but we now have the mechanism to keep talking." Reagan said, "The real report card on Geneva will not come in for months or even years." No agreement was reached on an extension of observance of the provisions of the unratified SALT II treaty. OTHER AGENDA ITEMS:

*Human Rights: Reagan and Gorbachev "agreed on the importance of resolving humanitarian cases in the spirit of cooperation," according to the communique. Secretary of State George P. Shultz said the two held "extensive discussions" on human rights, but no specifics were available.

Regional Issues: "Recognizing that exchanges of views at the expert level have proven useful, they agreed to continue such exchanges on a regular basis," the communique said. Shultz said Afghanistan had come up in the two leaders' talks and Gorbachev noted that "we did touch upon regions, such as Central America and other regions such as the Middle East and Africa." In a U.N. speech, Reagan had mentioned Afghanistan, Cambodia, Nicaragua, Ethiopia and Angola as areas for discussion.

*PERSONAL PERSPECTIVES: The two leaders, who had not met before the summit, warmly applauded each other's closing statements yesterday before adjourning for a final private meeting and champagne toasts to colleagues. Their private talks totaled nearly five hours. Asked yesterday in Brussels if the summit was a success, Reagan said, "I think it was. Neither side got everything they wanted, but I think we made great progress." "We think he liked him," White House spokesman Larry Speakes said of Reagan's estimate of Gorbachev. "They communicated well. I think each understood where the other stood." According to Speakes, Gorbachev told Reagan, "This is a new relationship." The Soviet leader told his news conference that "we understand very well not only the weaker points but also the strengths of U.S. society."

For their part, Nancy Reagan and Raisa Gorbachev appeared to establish a cordial relationship during the first meetings of American and Soviet first ladies in 11 years. "I think we had a good rapport," Nancy Reagan was quoted as saying.